A Survey of Mathematics with Applications, 11th edition

  • Allen R. Angel, 
  • Christine D. Abbott, 
  • Dennis Runde

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Overview

Survey of Mathematics with Applications focuses on everyday math in everyday language, showing you how mathematics affects the world around us. With straightforward narrative, detailed examples and interesting applications, the authors demonstrate the importance of mathematics in daily life. Support for problem solving and exam prep helps you succeed in the course, with learning resources such as Critical Thinking Skills sections, Key Idea boxes, Timely Tips, Chapter Summaries, Review Exercises and Chapter Tests. The 11th Edition updates data throughout, revises Technology Tips, adds new Downloadable Data sets and more.

Published by Pearson (January 1st 2021) - Copyright © 2021

ISBN-13: 9780137409099

Subject: Liberal Arts Math

Category: Liberal Arts Math

Overview

  1. Chapter 1: Critical Thinking Skills

    • 1.1 Inductive and Deductive Reasoning
    • 1.2 Estimation Techniques
    • 1.3 Problem-Solving Procedures

    Chapter 2: Sets

    • 2.1 Set Concepts
    • 2.2 Subsets
    • 2.3 Venn Diagrams and Set Operations
    • 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets
    • 2.5 Applications of Sets
    • 2.6 Infinite Sets

    Chapter 3: Logic

    • 3.1 Statements and Logical Connectives
    • 3.2 Truth Tables for Negation, Conjunction, and Disjunction
    • 3.3 Truth Tables for the Conditional and Biconditional
    • 3.4 Equivalent Statements
    • 3.5 Symbolic Arguments
    • 3.6 Euler Diagrams and Syllogistic Arguments
    • 3.7 Switching Circuits

    Chapter 4: Systems of Numeration

    • 4.1 Additive, Multiplicative, and Ciphered Systems of Numeration
    • 4.2 Place-Value or Positional-Value Numeration Systems
    • 4.3 Other Bases
    • 4.4 Perform Computations in Other Bases
    • 4.5 Early Computational Methods

    Chapter 5: Number Theory and the Real Number System

    • 5.1 Number Theory
    • 5.2 The Integers
    • 5.3 The Rational Numbers
    • 5.4 The Irrational Numbers
    • 5.5 Real Numbers and Their Properties
    • 5.6 Rules of Exponents and Scientific Notation
    • 5.7 Arithmetic and Geometric Sequences
    • 5.8 Fibonacci Sequence

    Chapter 6: Algebra, Graphs, and Functions

    • 6.1 Order of Operations and Solving Linear Equations
    • 6.2 Formulas
    • 6.3 Applications of Algebra
    • 6.4 Variation
    • 6.5 Solving Linear Inequalities
    • 6.6 Graphing Linear Equations
    • 6.7 Solving Systems of Linear Equations
    • 6.8 Linear Inequalities in Two Variables and Systems of Linear Inequalities
    • 6.9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula
    • 6.10 Functions and Their Graphs

    Chapter 7: The Metric System

    • 7.1 Basic Terms and Conversions Within the Metric System
    • 7.2 Length, Area, and Volume
    • 7.3 Mass and Temperature
    • 7.4 Dimensional Analysis and Conversions to and from the Metric System

    Chapter 8: Geometry

    • 8.1 Points, Lines, Planes, and Angles
    • 8.2 Polygons
    • 8.3 Perimeter and Area
    • 8.4 Volume and Surface Area
    • 8.5 Transformational Geometry, Symmetry, and Tessellations
    • 8.6 Topology
    • 8.7 Non-Euclidean Geometry and Fractal Geometry

    Chapter 9: Mathematical Systems

    • 9.1 Groups
    • 9.2 Finite Mathematical Systems
    • 9.3 Modular Arithmetic
    • 9.4 Matrices

    Chapter 10: Consumer Mathematics

    • 10.1 Percent
    • 10.2 Personal Loans and Simple Interest
    • 10.3 Compound Interest
    • 10.4 Installment Buying
    • 10.5 Buying a House with a Mortgage
    • 10.6 Ordinary Annuities, Sinking Funds, and Retirement Investments

    Chapter 11: Probability

    • 11.1 Empirical and Theoretical Probabilities
    • 11.2 Odds
    • 11.3 Expected Value (Expectation)
    • 11.4 Tree Diagrams
    • 11.5 OR and AND Problems
    • 11.6 Conditional Probability
    • 11.7 The Fundamental Counting Principle and Permutations
    • 11.8 Combinations
    • 11.9 Solving Probability Problems by Using Combinations
    • 11.10 Binomial Probability Formula

    Chapter 12: Statistics

    • 12.1 Sampling Techniques and Misuses of Statistics
    • 12.2 Frequency Distributions and Statistical Graphs
    • 12.3 Measures of Central Tendency and Position
    • 12.4 Measures of Dispersion
    • 12.5 The Normal Curve
    • 12.6 Linear Correlation and Regression

    Chapter 13: Graph Theory

    • 13.1 Graphs, Paths, and Circuits
    • 13.2 Euler Paths and Euler Circuits
    • 13.3 Hamilton Paths and Hamilton Circuits
    • 13.4 Trees 

    Chapter 14: Voting and Apportionment

    • 14.1 Voting Methods
    • 14.2 Flaws of the Voting Methods
    • 14.3 Apportionment Methods
    • 14.4 Flaws of the Apportionment Methods

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